Find the values of a, b and c in the given triangle.
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Answer:
a = 65 degrees, b = 115 degrees, c = 25 degrees
Step-by-step explanation:
In triangle PQS,
P+Q+R = 180 degrees (Angle sum property of triangle)
55 + 60 + a = 180
a = 180 - 115
= 65 degrees
External angle b = sum of other interior angles
b = 55 + 60
= 115 degrees
In triangle PSR,
P + S + R = 180 degrees (Angle sum property of triangle)
c + b + 40 = 180
c + 115 + 40 = 180
c = 180 - 155
c = 25 degrees
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